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Finding the Fourth Proportional to 2,087.79, 2,881.15 and 1,156.29

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Solution

The fourth proportional to 2,087.79, 2,881.15 and 1,156.29 is: 1,595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.79 : 2,881.15 = 1,156.29 : x
  2. Step 2: Convert to fraction form
    2,087.79/2,881.15 = 1,156.29/x
  3. Step 3: Cross multiply
    2,087.79x = 2,881.15 × 1,156.29
  4. Step 4: Simplify right side
    2,087.79x = 3,331,447.44
  5. Step 5: Solve for x
    x = 3,331,447.44/2,087.79
  6. Step 6: Final answer
    x = 1,595.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.